a number consists of two digits whose sum is 8 if 18 is added to the number and its reverse what is the number
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it will be 35
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Answered by
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HERE'S YOUR ANSWER.......✌️✌️
Let the original number be 10x+y ,
B.T.P,
x+y=8.......(1)
....(10x+y)+18 = 10y+x
=> 9x - 9y = -18
=> x - y = -2 ............(2)
..x + y = 8
- x - y = -2
......(+). (+).....
___________
........2y = 10
=> y = 5
PUTTING THE VALUE OF y IN EQUATION (1) ,
....x + y = 8
=> x + 5 = 8
=> x = 3
THE NUMBER IS
= 10 x + y
= 10(3)+(5)
= 35.
Let the original number be 10x+y ,
B.T.P,
x+y=8.......(1)
....(10x+y)+18 = 10y+x
=> 9x - 9y = -18
=> x - y = -2 ............(2)
..x + y = 8
- x - y = -2
......(+). (+).....
___________
........2y = 10
=> y = 5
PUTTING THE VALUE OF y IN EQUATION (1) ,
....x + y = 8
=> x + 5 = 8
=> x = 3
THE NUMBER IS
= 10 x + y
= 10(3)+(5)
= 35.
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